Signal representation generator

Claim 3

The method of claim 1 wherein said bands are selected to divide a selected frequency range into equal intervals of logarithm of frequency; and wherein the durations of the segments of the signal components correlated with the reference signal are ininverse proportion to the logarithmic center frequencies of the bands.

Claim 4

The method of claim 1 wherein the standard wavelet is characterized as having an even part formed by limiting a cosine wave with a preselected envelope and an odd part formed by limiting a sine wave with said preselected envelope; and wherein the step of correlating a segment of the signal component in each band with the reference signal is further characterized as correlating the segment of the signal component in each band with each of an even part of the reference signal derived from the even part of the standard wavelet and an odd part of the reference signal derived from an odd part of the standard wavelet.

Claim 5

The method of claim 2 wherein the standard wavelet is characterized as having an even part formed by limiting a cosine wave with a preselected envelope and an odd part formed by limiting a sine wave with said preselected envelope; and wherein the step of correlating a segment of the signal component in each band with the reference signal is further characterized as correlating the segment of the signal component in each band with each of an even part of the reference signal derived from the even part of the standard wavelet and an odd part of the reference signal derived from an odd part of the standard wavelet.

Claim 6

The method of claim 2 wherein the logarithms of frequency selected to divide said frequency range into bands are to the base two, whereby the frequency bands are grouped into a sequence of octaves each associated with a portion of said frequency range; wherein the selected correlation time intervals are the same for all bands in each octave; and wherein the selected correlation time intervals for octaves associated with successively higher frequency portions of said frequency range decrease by a factor of two from octave to octave.

Claim 7

The method of claim 5 wherein the step of correlating a segment of the signal component within a frequency band with the reference signal comprises the steps of: storing a succession of amplitudes of the reference signal corresponding to a sequence of sampling points dividing the standard wavelet into a selected number of equal reference signal intervals; storing a succession of amplitudes of the signal component corresponding to a sequence of sampling times dividing said segment of the signal component into a selected number of equal sampling time intervals, wherein the number of sampling time intervals into which said segment of the signal is divided is equal to the number of reference signal intervals into which the reference signal is divided; and correlating the stored amplitudes of the signal component with the stored amplitudes of the reference signal to obtain a correlation signal.

Claim 8

The method of claim 6 wherein the sampling time intervals for frequency bands in each octave are the same for all bands in the octave; wherein the sampling time intervals for octaves associated with successively higher frequency portions of said frequency range decrease by a factor of two from octave to octave; wherein the number of sampling time intervals selected for the bands in each octave varies from band to band in substantially inverse proportion to the logarithmic center frequencies of the bands; and wherein the set of numbers of sampling time intervals selected for the bands of one octave are selected for the bands of all octaves.

Claim 9

The method of claim 4 wherein the logarithms of frequency selected to divide said frequency range into bands are to the base two, whereby the frequency bands are grouped into a sequence of octaves each associated with a portion of said frequency range; wherein the selected correlation time intervals are the same for all bands in each octave; and wherein the selected correlation time intervals for octaves associated with successively higher frequency portions of said frequency range decrease by a factor of two from octave to octave.

Claim 10

The method of claim 8 wherein the steps of correlating a segment of the signal component within a frequency band with the even and odd parts of the reference signal comprises the steps of: storing a succession of amplitudes of each of the even and odd parts of the reference signal corresponding to a sequence of sampling points dividing each of the even and odd parts of the standard wavelet into a selected number of equal reference signal intervals; storing a succession of amplitudes of the signal component corresponding to a sequence of sampling times dividing said segment of the signal component into a selected number of equal sampling time intervals, wherein the number of sampling time intervals into which said segment of the signal is divided is equal to the number of reference signal intervals into which of the even and odd parts of the reference signal is divided; and correlating the stored amplitudes of the signal component with the stored amplitudes of each of the even and odd parts of the reference signal to obtain a correlation signal.

Claim 11

The method of claim 9 wherein the sampling time intervals for frequency bands in each octave are the same for all bands in the octave; wherein the sampling time intervals for octaves associated with successively higher frequency portions of said frequency range decrease by a factor of two from octave to octave; wherein the number of sampling time intervals selected for the bands in each octave varies from band to band in substantially inverse proportion to the logarithmic center frequencies of the bands; and wherein the set of numbers of sampling time intervals selected for the bands of one octave are selected for the bands of all octaves.

Claim 14

The apparatus of claim 11 wherein each octave circuit comprises a plurality of band circuits, each band circuit, associated with a selected frequency band of the octave of the frequency range with which the octave circuit is associated, generating one member of the set of correlation values for each correlation time interval of the octave circuit.

Claim 15

The apparatus of claim 12 wherein the frequency bands associated with the band circuits of each octave circuit divide the octave of frequency associated with the octave circuit into equal intervals of logarithm, to the base two, of frequency.

Claim 16

The apparatus of claim 13 wherein each band circuit comprises: a bandpass filter receiving said signal and passing a selected frequency component of the signal within the frequency band with which the band circuit is associated; an A/D converter connected to the bandpass filter to receive the signal component passed thereby, the A/D converter receiving the clock pulses received by the octave circuit of which the A/D converter is a part to provide a digital representation of the amplitude of the signal component received by the A/D converter in response to each of said clock pulses; and signal correlation means for correlating a succession of amplitudes provided by the A/D converter with a succession of amplitudes of the reference signal derived from the standard wavelet.

Claim 17

The apparatus of claim 14 wherein the signal correlation means comprises: a reference register comprising a plurality of storage registers, each storage register containing a digital representation of one amplitude of the reference signal; a signal register, connected to the A/D converter and the clock means to receive the digital representations of the signal amplitudes provided by the A/D converter and the clock pulses received by the octave circuit of which the signal register is a part, the signal register comprising a plurality of serially connected storage registers for storing a succession of signal component amplitudes and shifting the stored signal component amplitudes serially through the storage registers in response to a clock signal received by the signal register, the signal register having a number of storage registers equal to the number of storage registers of said reference register and each storage register of the signal register corresponding to a selected storage register of the reference register; a term-by-term multiplier circuit connected to the output terminals of the storage registers of said reference and signal registers, the multiplier circuit connected to the clock means to receive the clock pulses received by the octave circuit of which the multiplier circuit is a part for multiplying the contents of each storage register of said reference register by the contents of the corresponding storage register of said signal register in response to a clock pulse received by the multiplier circuit; and an adder circuit, connected to the multiplier circuit and to the clock means so as to receive the products formed by the multiplier circuit and clock pulses received by the octave circuit of which the adder is a part, for adding said products in response to a clock pulse received by the adder circuit.

Claim 18

The apparatus of claim 15 wherein the number of storage registers in each of the reference and signal registers varies from band circuit to band circuit within each octave circuit substantially in inverse proportion to the logarithmic centers of the frequency bands with which the band circuits are associated.

Claim 19

The apparatus of claim 14 wherein the reference signal is characterized as having an even part and an odd part; and wherein the signal correlation means comprises: even signal correlation means for correlating a succession of amplitudes provided by the A/D converter with a succession of amplitudes of the even part of the reference signal; and odd signal correlation means for correlating a succession of amplitudes provided by the A/D converter with a succession of amplitudes of the odd part of the reference signal; and wherein each of the even signal correlation means and the odd signal correlation means comprises: a reference register comprising a plurality of storage registers, each storage register containing a digital representation of one amplitude of the reference signal; a signal register, connected to the A/D converter and the clock means to receive the digital representations of the signal amplitudes provided by the A/D converter and the clock pulses received by the octave circuit of which the signal register is a part, the signal register comprising a plurality of serially connected storage registers for storing a succession of signal component amplitudes and shifting the stored signal component amplitudes serially through the storage registers in response to a clock signal received by the signal register, the signal register having a number of storage registers equal to the number of storage registers of said reference register and each storage register of the signal register corresponding to a selected storage register of the reference register; a term-by-term multiplier circuit connected to the output terminals of the storage registers of said reference and signal registers, the multiplier circuit connected to the clock means to receive the clock pulses received by the octave circuit of which the multiplier circuit is a part for multiplying the contents of each storage register of said reference register by the contents of the corresponding storage register of said signal register in response to a clock pulse received by the multiplier circuit; and an adder circuit, connected to the multiplier circuit and to the clock means so as to receive the products formed by the multiplier circuit and clock pulses received by the octave circuit of which the adder is a part, for adding said products in response to a clock pulse received by the adder circuit.

Claim 20

The apparatus of claim 17 wherein the number of storage registers in each of the reference and signal registers of the even correlation means of a band circuit is equal to the number of storage registers in each of the reference and signal registers of the odd correlation means of the band circuit and wherein the number of storage registers in each of the reference and signal registers of the band circuits varies from band circuit to band circuit within each octave circuit substantially in inverse proportion to the logarithmic centers of the frequency bands with which the band circuits are associated.